Theorem merco1lem9 1558

Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 1546. (Contributed by Anthony Hart, 18-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
merco1lem9

Proof of Theorem merco1lem9

Step	Hyp	Ref	Expression
1		merco1lem8 1557	. 2
2		merco1lem8 1557	. 2
3	1, 2	ax-mp 5	1

Syntax hints:  ->wi 4  wfal 1400

This theorem is referenced by:  merco1lem12  1561  merco1lem14  1563  merco1lem17  1566  merco1lem18  1567  retbwax1  1568

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-tru 1398  df-fal 1401